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RHS Criteria for Congruency

ABC is a tria...

Question

ABC is a triangle, in which angle-B=2angle-C. D is a point on side BC such that AD bisects angle-BAC and AB=CD. Prove that angle-BAC=72°.

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A B C

∠ B = 2 ∠ C

D

B C

A D

∠ B A C

A B = C D

∠ B A C = 72^{o}

ABC is a triangle in which $∠ B = 2 ∠ C . D$ is a point on BC such that AD bisects $∠ B A C a n d A B = C D . Prove that ∠ B A C = 72^{\circ} .$

∠ B = 2 ∠ C

∠ B A C

A B = C D .

∠ B A C

∠ B = 2 ∠ C .

∠ B A C

m

∠ B A C = m^{\circ}

D

B C

△ A B C

\frac{B D}{C D} = \frac{A B}{A C} .

A D

∠ B A C

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